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We predict that the $a_0^0(980)$-$f_0(980)$ mixing would lead to large CPviolation. We calculate the localized direct CP asymmetry in the decays $B^\pm\to f_0(980) [a_0^0(980)] \pi^\pm \to \pi^+ \pi^- \pi^\pm $ via the$a_0^0(980)$-$f_0(980)$ mixing mechanism based on the hypothetical $q\bar q$structures of $a^0_0(980)$ and $f_0(980)$ in the QCD factorization. It is shownthat there is a peak for CP violation, which could be as large as 58%, when theinvariance mass of $\pi\pi$ is near the masses of $a^0_0(980)$ and $f_0(980)$.Since the CP asymmetry is sensitive to the $a_0^0(980)$-$f_0(980)$ mixing,measuring the CP violating parameter in the aforementioned decays could providea new way to verify the existence of the $a_0^0(980)$-$f_0(980)$ mixing and behelpful in clarifying the configuration nature of the light scalar mesons.

Direct CP violation in multi-body $B$ decays with the $a^0_0(980)$--$f_0(980)$ mixing